0 00000000000000000000000 0111011
How would I do this problem I am lost.
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Your bolding suggests that you might be a bit confused about the order of fields; IEEE generally uses the order sign,exponent,fraction for floating point numbers. (Incidentally, this allows the use of twos-complement-integer sorts to sort IEEE floating point numbers, if there are no NaNs or other non-numeric values.)
So what are we looking at here? The first bit is the sign: 0. So we have a positive number. (How to remember this? Go back to the allowed-to-use-integer-sort — a leading one in a twos-complement integer means it’s negative.)
The next eight bits are the exponent: also 0. This is the lowest possible exponent value; it normally represents an unsigned integer biased by 127, or the value -127. However, the exponent value 0 is reserved for encoding subnormal numbers (numbers less than the smallest normally representable); in this special case, the effective exponent is -126, but rather than representing the number 1.fraction * 2^exponent, a subnormal represents the number 0.fraction * 2^exponent.
Finally, we have the fraction, which is
0000000000000000111011. So our total number is 0.0000000000000000111011b * 2^-126. Converting this to decimal is left to the reader.